You should know by now that you have to include dimensions with your radius and acceleration numbers.

If the tangential acceleration is always 0.300 (m/s^2?), the centripetal accleration (which is perpendicular to tangential) will be 1.98 m/s^2 when the total acceleration is 2.00 m/s^2. From that, you can figure out the instantaneous velocity and how long it took to reach that speed.